Answer:
a. 114 minutes
b. 48 minutes
Step-by-step explanation:
Given that
Time spent over the piano is 75 minutes
a. if Priya practice violin for 152% as Han Practiced for piano
So the minutes she practice in Violin is
= 75 minutes × 152%
= 114 minutes
Likewise
b. If Tyler practiced for clarinet for 64% as Han Practiced for piano
So the minutes he practice in Clarinet is
= 75 minutes × 64%
= 48 minutes
The same is to be considered
Explanation
Since the scaling factor of the dilation (0.5) is fewer than 1, it shrinks (make smaller) the triangle around the origin (zero). Intuitively, the dilation is getting the points of the triangle closer to zero (in a way that preserves the shape of the triangle).
Formally, to know the coordinates of a point of the triangle after the dilation, we just need to multiply the original coordinates of the point by the scaling factor (this works for the dilation is around zero).
The original coordinates of D are

Multiplying them by the scale factor, we get

Answer
The coordinates of D after the given dilation is
Answer:
Mean 140 grams
Standard deviation 22.4 grams
Step-by-step explanation:
What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Mean = 5.2 ounces.
First step would be to convert from ounces to grams
1 ounce = 28 grams
5.2 ounces =
5.2 ounces × 28 grams
= 145.6 grams
He underweighs by 0.2 ounces
We convert this too
1 ounce = 28 grams
0.2 ounce =
0.2 ounce × 28 grams
= 5.6 grams.
The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.
Standard Deviation = 0.8 ounces.
Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.
Hence, the standard deviation if the apples in grams =
1 ounce = 28 grams
0.8 ounce =
0.8 ounce × 28 grams
= 22.4 grams
Y =mx +b
m= slope = -3/5
b=y=3
so y = -3/5x + 3